An analytical coupled homotopy-variational approach for solving strongly nonlinear differential equation
type: Item
instance of: scholarly article
title: An analytical coupled homotopy-variational approach for solving strongly nonlinear differential equation
zbMATH Open document ID: 1378.65155
author: G. M. Ismail
published in: Journal of the Egyptian Mathematical Society
publication date: 2017-12-22T00:00:00Z
Mathematics Subject Classification ID: 65L99
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 6821071
zbMATH Keywords: analytical solution
zbMATH Keywords: strongly nonlinear oscillator
zbMATH Keywords: homotopy perturbation method
zbMATH Keywords: variational approach
MaRDI profile type: Publication
full work available at URL: j.joems.2017.07.006
OpenAlex ID: W2750170259
Wikidata QID: Q115345674
cites work: Preliminary report on the energy balance for nonlinear oscillations.
cites work: Nonlinear transversely vibrating beams by the improved energy balance method and the global residue harmonic balance method
cites work: Q4920701
cites work: Variational iteration method -- some recent results and new interpretations
cites work: A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
cites work: Comments on ``A one-step optimal homotopy analysis method for nonlinear differential equations''
cites work: Application of recent powerful analytical approaches on the non-linear vibration of cantilever beams
cites work: Analytical solution of Abel integral equation arising in astrophysics via Laplace transform
cites work: Nonlinear vibration analysis of a rigid rod on a circular surface via Hamiltonian approach
cites work: Variational approach for nonlinear oscillators
cites work: New soliton solutions of the generalized Zakharov equations using He's variational approach
cites work: Global residue harmonic balance method for large-amplitude oscillations of a nonlinear system
cites work: Determination of natural frequencies by coupled method of homotopy perturbation and variational method for strongly nonlinear oscillators
cites work: Dynamic model of large amplitude non-linear oscillations arising in the structural engineering: analytical solutions
cites work: Analytical approximations for a conservative nonlinear singular oscillator in plasma physics
cites work: Q5455086
DOI: 10.1016/J.JOEMS.2017.07.006
description: scientific article; zbMATH DE number 6821071